Non-Degenerate Ultrametric Diffusion

General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e. of the ultrametric diffusion) are investigated.

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Bibliographische Detailangaben
Hauptverfasser:	Kozyrev, S. V, Osipov, V. Al, Avetisov, V. A
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Other Condensed Matter Physics - Soft Condensed Matter
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Beschreibung
Zusammenfassung:	General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e. of the ultrametric diffusion) are investigated.
DOI:	10.48550/arxiv.cond-mat/0403440